document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314175>Question 314175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A decorator plans to place a rug in a room 9 m by 12 m in such a way that a uniform strip of flooring around the rug will remain uncovered.  If the rug is to cover half the floor space, what should the dimensions of the rug be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224657 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9*12=108 YDS^2 IS THE ROOM AREA.<BR>\n" );
document.write( "108/2=54 YDS^2 IS 1/2 THE ROOM AREA.<BR>\n" );
document.write( "(9-2X)(12-2X)=54<BR>\n" );
document.write( "108-24X-18X+4X^2=54<BR>\n" );
document.write( "4X^2-42X+108-54=0<BR>\n" );
document.write( "4X^2-42X+54=0<BR>\n" );
document.write( "(2X-18)(2X-3)=0<BR>\n" );
document.write( "2X-3=0<BR>\n" );
document.write( "2X=3<BR>\n" );
document.write( "X=3/2<BR>\n" );
document.write( "X=1.5 <BR>\n" );
document.write( "(9-2*1.5)(12-2*1.5)=54<BR>\n" );
document.write( "(9-3)(12-3)=54<BR>\n" );
document.write( "6*9=54<BR>\n" );
document.write( "54=54<BR>\n" );
document.write( "THE RUG SHOULD BE 6 BY 9 YDS.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );